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Simplifying 4(2y + -12) = -10(y + -5) Reorder the terms: 4(-12 + 2y) = -10(y + -5) (-12 * 4 + 2y * 4) = -10(y + -5) (-48 + 8y) = -10(y + -5) Reorder the terms: -48 + 8y = -10(-5 + y) -48 + 8y = (-5 * -10 + y * -10) -48 + 8y = (50 + -10y) Solving -48 + 8y = 50 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -48 + 8y + 10y = 50 + -10y + 10y Combine like terms: 8y + 10y = 18y -48 + 18y = 50 + -10y + 10y Combine like terms: -10y + 10y = 0 -48 + 18y = 50 + 0 -48 + 18y = 50 Add '48' to each side of the equation. -48 + 48 + 18y = 50 + 48 Combine like terms: -48 + 48 = 0 0 + 18y = 50 + 48 18y = 50 + 48 Combine like terms: 50 + 48 = 98 18y = 98 Divide each side by '18'. y = 5.444444444 Simplifying y = 5.444444444
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