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Simplifying 5[3y + -7] + 3[7y + -4] = 18 + -2[8y + 4] Reorder the terms: 5[-7 + 3y] + 3[7y + -4] = 18 + -2[8y + 4] [-7 * 5 + 3y * 5] + 3[7y + -4] = 18 + -2[8y + 4] [-35 + 15y] + 3[7y + -4] = 18 + -2[8y + 4] Reorder the terms: -35 + 15y + 3[-4 + 7y] = 18 + -2[8y + 4] -35 + 15y + [-4 * 3 + 7y * 3] = 18 + -2[8y + 4] -35 + 15y + [-12 + 21y] = 18 + -2[8y + 4] Reorder the terms: -35 + -12 + 15y + 21y = 18 + -2[8y + 4] Combine like terms: -35 + -12 = -47 -47 + 15y + 21y = 18 + -2[8y + 4] Combine like terms: 15y + 21y = 36y -47 + 36y = 18 + -2[8y + 4] Reorder the terms: -47 + 36y = 18 + -2[4 + 8y] -47 + 36y = 18 + [4 * -2 + 8y * -2] -47 + 36y = 18 + [-8 + -16y] Combine like terms: 18 + -8 = 10 -47 + 36y = 10 + -16y Solving -47 + 36y = 10 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -47 + 36y + 16y = 10 + -16y + 16y Combine like terms: 36y + 16y = 52y -47 + 52y = 10 + -16y + 16y Combine like terms: -16y + 16y = 0 -47 + 52y = 10 + 0 -47 + 52y = 10 Add '47' to each side of the equation. -47 + 47 + 52y = 10 + 47 Combine like terms: -47 + 47 = 0 0 + 52y = 10 + 47 52y = 10 + 47 Combine like terms: 10 + 47 = 57 52y = 57 Divide each side by '52'. y = 1.096153846 Simplifying y = 1.096153846
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