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Simplifying 2(y + -8) + -7 = -7(2y + 3) + -4y Reorder the terms: 2(-8 + y) + -7 = -7(2y + 3) + -4y (-8 * 2 + y * 2) + -7 = -7(2y + 3) + -4y (-16 + 2y) + -7 = -7(2y + 3) + -4y Reorder the terms: -16 + -7 + 2y = -7(2y + 3) + -4y Combine like terms: -16 + -7 = -23 -23 + 2y = -7(2y + 3) + -4y Reorder the terms: -23 + 2y = -7(3 + 2y) + -4y -23 + 2y = (3 * -7 + 2y * -7) + -4y -23 + 2y = (-21 + -14y) + -4y Combine like terms: -14y + -4y = -18y -23 + 2y = -21 + -18y Solving -23 + 2y = -21 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. -23 + 2y + 18y = -21 + -18y + 18y Combine like terms: 2y + 18y = 20y -23 + 20y = -21 + -18y + 18y Combine like terms: -18y + 18y = 0 -23 + 20y = -21 + 0 -23 + 20y = -21 Add '23' to each side of the equation. -23 + 23 + 20y = -21 + 23 Combine like terms: -23 + 23 = 0 0 + 20y = -21 + 23 20y = -21 + 23 Combine like terms: -21 + 23 = 2 20y = 2 Divide each side by '20'. y = 0.1 Simplifying y = 0.1
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