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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 = -2y -48 + -2y = -50 + 10y + -10y Combine like terms: 10y + -10y = 0 -48 + -2y = -50 + 0 -48 + -2y = -50 Add '48' to each side of the equation. -48 + 48 + -2y = -50 + 48 Combine like terms: -48 + 48 = 0 0 + -2y = -50 + 48 -2y = -50 + 48 Combine like terms: -50 + 48 = -2 -2y = -2 Divide each side by '-2'. y = 1 Simplifying y = 1
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